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Finding the Fourth Proportional to 340,220.52, 509,085.05 and 321,970.95

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Solution

The fourth proportional to 340,220.52, 509,085.05 and 321,970.95 is: 481,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,220.52 : 509,085.05 = 321,970.95 : x
  2. Step 2: Convert to fraction form
    340,220.52/509,085.05 = 321,970.95/x
  3. Step 3: Cross multiply
    340,220.52x = 509,085.05 × 321,970.95
  4. Step 4: Simplify right side
    340,220.52x = 163,910,595,569.44
  5. Step 5: Solve for x
    x = 163,910,595,569.44/340,220.52
  6. Step 6: Final answer
    x = 481,777.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.